Authors & Affiliations

Seleznev E.F., Bereznev V.P., Chernova I.S.
Nuclear Safety Institute of the Russian Academy of Sciences, Moscow, Russia

Seleznev E.F. – Head of Laboratory, Senior Researcher, Dr. Sci. (Techn.), Nuclear Safety Institute of the Russian Academy of Sciences. Contacts: 52, Bolshaya Tulskaya st., Moscow, Russia, 115191. Tel.: +7 (495) 955-23-11; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..
Bereznev V.P. – Researcher, Cand. Sci. (Techn.), Nuclear Safety Institute of the Russian Academy of Sciences.
Chernova I.S. – Junior Researcher, Nuclear Safety Institute of the Russian Academy of Sciences.

Abstract

To analyze the spatial kinetics of the reactor, a system of equations for the spatial kinetics of the reactor, consisting of two equations, is usually used. One of them describes the behavior of the neutron flux density, and the second describes the behavior of the precursors of delayed neutrons. In this case, the density of the neutron flux includes the flux density prompt neutrons, appearing directly upon fission of the nucleus, and delayed neutrons that appear in the decay of some fission fragments. This system of equations is called classical. This paper considers the possibility of representing the neutron flux density in a nonstationary process by individual equations for prompt and delayed neutrons and presents the initial results of modeling the nonstationary process for dumping a control rod in a fast medium-power reactor. A system of equations describing such a behavior of the neutron field in a reactor is called a system of partial equations.

Keywords
partial equations, reactor, prompt neutrons, delayed neutrons, external source, kinetics

Article Text (PDF, in Russian)

References

UDC 621.039

Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2019, issue 3, 3:13